How do I solve multiple bvps with coupled boundary values?

I am looking for a way to solve multiple boundary value problems with coupled boundary values.

For example I have a mechanical Problem with two sections, and for each section I have a System of differential equations.

The boundary values are known on the very outside (left side of the left section and right side of the right section).

In the middle, where the two sections meet, the boundary values should be the same for both sections (right side of left section = left side of right section).

So far I have solved these Problems with bvp4c, but only for 1 section, and I can't think of a way to implement it for multiple sections.

Any help would be greatly appreciated.

Answer 1

[Torsten]

Use the facility of bvp4c to solve multipoint boundary value problems as in your case:

https://uk.mathworks.com/help/matlab/math/solve-bvp-with-multiple-boundary-conditions.html